Answer:
1 /4
Step-by-step explanation:
Given that:
Number of shirts in shipment = 24
Number of defective shirts in shipment = 6
The expectation about upcoming shipment which can be inferred from the information give is the probability of defect in upcoming shipments :
Probability of defect = Number of defect in shipment / total number of items in shipment
P(defect) = 6 /24 = 1 /4
The question is not well presented and the question also requires an attachment which is missing. See complete question below
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 12/24 = 18/16 = ½
b. 12/18 = 16/24 = ⅔
c. 12/16 = 18/24 = ¾
d. 18/12 = 24/16 = 3/2
Answer:
c. 12/16 = 18/24 = ¾
Step-by-step explanation:
Given
Two similar triangles
Required
Ratio of corresponding sides
To solve questions like this, you have to make comparisons between the similar sides of the triangle.
From the attached file,
Side PQ is similar to Side AB
And
Side QR is similar to Side BC
Also from the attached file
PQ = 12 and QR = 18
AB = 16 and BC = 24
Now, the ratio can be calculated.
Ratio = PQ/AB or QR/BC
Ratio = PQ/AB
Ratio = 12/16
Divide numerator and denominator by 4
Ratio = ¾
Or
Ratio = QR/BC
Ratio = 18/24
Divide numerator and denominator by 6
Ratio = ¾.
Combining these results
Ratio = 12/16 = 18/24 = ¾
Hence, option C is correct
which sequences are arithmetic? check all that apply. –8.6, –5.0, –1.4, 2.2, 5.8, … 2, –2.2, 2.42, –2.662, 2.9282, … 5, 1, –3, –
sergiy2304 [10]
In an arithmetic sequence, the next term is found by adding a constant term to each number to arrive at the next number. The common difference can be found by subtracting the first term from the second term.
-8.6, -5.0, -1.4, 2.2, 5.8....the common difference here is 3.6
-8.6 + 3.6 = -5.0
-5.0 + 3.6 = -1.4
1.4 + 3.6 = 2.2
2.2 + 3.6 = 5.8
so this IS an arithmetic sequence.
2,-2.2, 2.42, -2.662, 2.9282...there is no common difference..so this is not an arithmetic sequence
5,1,-3,-7,-11....common difference is -4
5 + (-4) = 1
1 + (-4) = -3
-3 + (-4) = -7
-7 + (-4) = -11
this IS an arithmetic sequence
-3,3,9,15,21...common difference is 6
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
15 + 6 = 21
this IS an arithmetic sequence
-6.2, -3.1, -1.55, -0.775, -0.3875...this is not an arithmetic sequence
Answer:
y = (-1/4)x + 9/4
Step-by-step explanation:
2y = 8x - 6
So, y = 4x - 3 (Slope = 4)
Slope of perpendicular line = -1/4
Equation of line: y-3 = (-1/4)(x-(-3))
y-3 = (-1/4)x - 3/4
y = (-1/4)x + 9/4
Answer:
x = 30
Step-by-step explanation:
in order to solve for the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 )
we will first of all open the brackets and then evaluate for the value of x by combining the like terms.
from 6 ( x − 2 ) = 8 ( x − 9 )
6x -12 = 8x -72
combine the like terms
6x - 12 + 72 = 8x
-12 + 72 = 8x -6x
60 = 2x
divide both sides by the coefficient of x which is 2
60/2 = 2x/2
30 = x
x = 30
therefore the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 ) is equals to 30
